Answer:
4
Step-by-step explanation:
1. Information
Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;
(3, -5), (4, -1)
One must also know that the formula for slope is;
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
2. Solving
Input the given points into the formula and solve.
[tex]\frac{(-1)-(-5)}{(4)-(3)}[/tex]
[tex]\frac{-1+5}{1}[/tex]
[tex]\frac{4}{1}[/tex]
4
